Jeffrey K. answered 08/11/20
Together, we build an iron base in mathematics and physics
Taha, here's your explanation.
2x/e^(x4) - 1/e^(x2) = 0
2x/e^(x4) = 1/e^(x2)
2x = e^(x4) / e^(x2) . . . . . . . . . . . . [multiplying through by e^x4
2x = e^(x4 - x2) . . . . . . . . . . . . . . . [ when dividing, we can subtract exponents
ln (2x) = x4 - x2
ln (2x) = x2(x2 - 1)
This equation can't be solved analytically with simple functions.
Could your original equation be incorrectly transcribed?